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110131123301 is a prime number
BaseRepresentation
bin110011010010001010…
…0111001010001100101
3101112021020010201201122
41212210110321101211
53301022031421201
6122332112103325
710646103050063
oct1464424712145
9345236121648
10110131123301
1142785169a81
1219416834b45
13a501719a64
14548a797033
152ce8898e1b
hex19a4539465

110131123301 has 2 divisors, whose sum is σ = 110131123302. Its totient is φ = 110131123300.

The previous prime is 110131123279. The next prime is 110131123327. The reversal of 110131123301 is 103321131011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 103622829025 + 6508294276 = 321905^2 + 80674^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-110131123301 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 110131123301.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (110131120301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55065561650 + 55065561651.

It is an arithmetic number, because the mean of its divisors is an integer number (55065561651).

Almost surely, 2110131123301 is an apocalyptic number.

It is an amenable number.

110131123301 is a deficient number, since it is larger than the sum of its proper divisors (1).

110131123301 is an equidigital number, since it uses as much as digits as its factorization.

110131123301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 110131123301 its reverse (103321131011), we get a palindrome (213452254312).

The spelling of 110131123301 in words is "one hundred ten billion, one hundred thirty-one million, one hundred twenty-three thousand, three hundred one".